The Lefschetz Property for Componentwise Linear Ideals and Gotzmann Ideals

Abstract

For standard graded Artinian K-algebras defined by componentwise linear ideals and Gotzmann ideals, we give conditions for the weak Lefschetz property in terms of numerical invariants of the defining ideals.

Key Words:

• Lefschetz property
• Componentwise linear ideals
• Gotzmann ideals

Mathematics Subject Classification:

• Primary 13C05, 13C13, 13C99

Acknowledgment

I would like to thank Prof. Jürgen Herzog for many helpful discussions.

Notes

^#Communicated by W. Bruns.